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# Consider an experiment that consists of selecting a card

ISBN: 9780321923271 41

## Solution for problem 5E Chapter 2.3

Probability and Statistical Inference | 9th Edition

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Problem 5E

Consider an experiment that consists of selecting a card at random from an ordinary deck of cards. Let the random variable X equal the value of the selected card, where Ace = 1, Jack = 11, Queen = 12, and King = 13. Thus, the space of X is S = {1, 2, 3, . . . , 13}. If the experiment is performed in an unbiased manner, assign probabilities to these 13 outcomes and compute the mean μ of this probability distribution.

Step-by-Step Solution:

Step 1 of 3:

The experiment given is selection of card at random from a deck of cards.

Let the random variable X be the value on the selected card,where the value of Ace=1,Jack=11,Queen=12 and King=13.

Therefore the sample space of X becomes,S={1,2,3,4,5,6,7,8,9,10,11,12,13}

Step 2 of 3:

The experiment is an unbiased experiment. That is all the outcomes in the sample space has an equal probability of being selected.

The total number of cards in a deck of cards is n=52. The total number of Aces is 4,total number of Jacks is 4, total number of Kings is 4 and total number of queens is 4 in a total of 52 cards.

The favourable number of outcomes for these 13 outcomes,S={1,2,3,4,5,6,7,8,9,1,0,11,12,13} is 4.

Therefore all these 13 outcomes have an equal probability of .

That is P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=P(7)=P(8)=P(8)=P(9)=P(10)=P(11)=P(12)=P(13)=

=

Therefore, the probability of each outcome is .

Step 3 of 3

##### ISBN: 9780321923271

The answer to “Consider an experiment that consists of selecting a card at random from an ordinary deck of cards. Let the random variable X equal the value of the selected card, where Ace = 1, Jack = 11, Queen = 12, and King = 13. Thus, the space of X is S = {1, 2, 3, . . . , 13}. If the experiment is performed in an unbiased manner, assign probabilities to these 13 outcomes and compute the mean ? of this probability distribution.” is broken down into a number of easy to follow steps, and 83 words. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This full solution covers the following key subjects: Card, random, experiment, mean, compute. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Since the solution to 5E from 2.3 chapter was answered, more than 675 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The full step-by-step solution to problem: 5E from chapter: 2.3 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM.

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